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Finding the Fourth Proportional to 22,496.16, 31,027.60 and 15,031.20

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Solution

The fourth proportional to 22,496.16, 31,027.60 and 15,031.20 is: 20,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.16 : 31,027.60 = 15,031.20 : x
  2. Step 2: Convert to fraction form
    22,496.16/31,027.60 = 15,031.20/x
  3. Step 3: Cross multiply
    22,496.16x = 31,027.60 × 15,031.20
  4. Step 4: Simplify right side
    22,496.16x = 466,382,061.12
  5. Step 5: Solve for x
    x = 466,382,061.12/22,496.16
  6. Step 6: Final answer
    x = 20,731.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.